Transmission Of Heat Question 27
Question: The heat is flowing through two cylindrical rods of same material. The diameters of the rods are in the ratio 1 : 2 and their lengths are in the ratio 2 : 1. If the temperature difference between their ends is the same, the ratio of rate of flow of heat through them will be
[NCERT 1982; CBSE PMT 1995; EAMCET 1997]
Options:
A) 1 : 1
B) 2 : 1
C) 1 : 4
D) 1 : 8
Show Answer
Answer:
Correct Answer: D
Solution:
$ \theta =\frac{5K\times 100+3K\times 20}{5K+3K} $
Therefore $ =\frac{560K}{8K} $ (d = Diameter of rod)
Therefore $ ({{37.4}^{o}}C) $